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Number Theory and Discrete Mathematics

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. A. K. Agarwal

    1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

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  2. Bruce C. Berndt
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  3. Christian F. Krattenthaler
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  4. Gary L. Mullen
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  5. K. Ramachandra
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  6. Michel Waldschmidt
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Part of the book series: Trends in Mathematics (TM)

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Table of contents (29 papers)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Multiple Polylogarithms: An Introduction

    • M. Waldschmidt
    Pages 1-12

  3. A (Conjectural) 1/3-phenomenon for the Number of Rhombus Tilings of a Hexagon which Contain a Fixed Rhombus

    • C. Krattenthalert
    Pages 13-30

  4. The Influence of Carr’s Synopsis on Ramanujan

    • Bruce C. Berndt
    Pages 31-35

  5. A Bailey Lemma from the Quintuple Product

    • George E. Andrews
    Pages 37-46

  6. Little Flowers to G.H. Hardy(07-02-1877–01-12-1947)

    • K. Ramachandra
    Pages 47-51

  7. Rogers-Ramanujan Type Identities for Burge’s Restricted Partition Pairs Via Restricted Frobenius Partitions

    • A. K. Agarwal, Padmavathamma
    Pages 53-60

  8. On q-additive and q-multiplicative Functions

    • I. Kátai
    Pages 61-76

  9. Antimagic Labeling of Complete m-ary Trees

    • P. D. Chawathe, Vijaya Krishna
    Pages 77-80

  10. Some Recent Advances on Symmetric, Quasi-Symmetric and Quasi-Multiple Designs

    • Sharad Sane
    Pages 81-88

  11. On T-core Partitions and Quadratic Forms

    • Neville Robbins
    Pages 89-100

  12. Observations on Some Algebraic Equations Associated with Ramanujan’s Work

    • Michele Elia
    Pages 101-111

  13. On Rapidly Convergent Series for Dirichlet L-function Values Via the Modular Relation

    • S. Kanemitsu, Y. Tanigawa, M. Yoshimoto
    Pages 113-133

  14. On a Conjecture of Andrews-II

    • Padmavathamma, M. Ruby Salestina
    Pages 135-147

  15. Integrity of P 2 x P n

    • P. D. Chawathe, S. A. Shende
    Pages 149-155

  16. A Note on Cordial Labelings of Multiple Shells

    • Mahesh Andar, Samina Boxwala, N. B. Limaye
    Pages 157-160

  17. A Report on Additive Complements of the Squares

    • D. S. Ramana
    Pages 161-167

  18. Transcendental Infinite Sums and Some Related Questions

    • Sukumar Das Adhikari
    Pages 169-178

  19. The Lehmer Problem on the Euler Totient: A Pendora’s Box of Unsolvable Problems

    • M. V. Subbarao
    Pages 179-187

  20. The Problems Solved by Ramanujan in the Journal of the Indian Mathematical Society

    • Bruce C. Berndt
    Pages 189-200
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Keywords

About this book

To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana­ Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.

Editors and Affiliations

  • Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India

    A. K. Agarwal

Bibliographic Information

  • Book Title: Number Theory and Discrete Mathematics

  • Editors: A. K. Agarwal, Bruce C. Berndt, Christian F. Krattenthaler, Gary L. Mullen, K. Ramachandra, Michel Waldschmidt

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8223-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2002

  • Hardcover ISBN: 978-3-7643-6720-6Published: 01 May 2002

  • Softcover ISBN: 978-3-0348-9481-4Published: 06 November 2012

  • eBook ISBN: 978-3-0348-8223-1Published: 06 December 2012

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XVI, 314

  • Topics: Number Theory, Algebraic Geometry, Combinatorics

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